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Finding the Third Proportional to 258,780 and 356,346

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Solution

The third proportional to 258,780 and 356,346 is: 490,696.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,780 : 356,346 = 356,346 : x
  2. Step 2: Convert to fraction form
    258,780/356,346 = 356,346/x
  3. Step 3: Cross multiply
    258,780x = 356,346 × 356,346
  4. Step 4: Simplify right side
    258,780x = 126,982,471,716
  5. Step 5: Solve for x
    x = 126,982,471,716/258,780
  6. Step 6: Final answer
    x = 490,696.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.